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In this work we present a unified method of relative camera pose estimation from points and lines correspondences. Given a set of 2D points and lines correspondences in three views, of which two are known, a method has been developed for…

Robotics · Computer Science 2017-10-19 Ashraf Qadir , Jeremiah Neubert

We study the challenging problem of estimating the relative pose of three calibrated cameras from four point correspondences. We propose novel efficient solutions to this problem that are based on the simple idea of using four…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Charalambos Tzamos , Viktor Kocur , Yaqing Ding , Daniel Barath , Zuzana Berger Haladova , Torsten Sattler , Zuzana Kukelova

We propose a minimal solution for pose estimation using both points and lines for a multi-perspective camera. In this paper, we treat the multi-perspective camera as a collection of rigidly attached perspective cameras. These type of…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Pedro Miraldo , Tiago Dias , Srikumar Ramalingam

We propose two minimal solutions to the problem of relative pose estimation of (i) a calibrated camera from four points in two views and (ii) a calibrated generalized camera from five points in two views. In both cases, the relative…

Computer Vision and Pattern Recognition · Computer Science 2019-02-01 Evgeniy Martyushev , Bo Li

We present a fast and accurate solution to the perspective $n$-points problem, by way of a new approach to the n=4 case. Our solution hinges on a novel separation of variables: given four 3D points and four corresponding 2D points on the…

Algebraic Geometry · Mathematics 2026-02-24 David Lehavi , Brian Osserman

This work is concerned with camera pose estimation from correspondences of 3D/2D lines, i. e. with the Perspective-n-Line (PnL) problem. We focus on large line sets, which can be efficiently solved by methods using linear formulation of…

Computer Vision and Pattern Recognition · Computer Science 2017-05-16 Bronislav Přibyl , Pavel Zemčík , Martin Čadík

In this paper we present a fast minimal solver for absolute camera pose estimation from four known points that lie in a plane. We assume a perspective camera model with unknown focal length and unknown radial distortion. The radial…

Computer Vision and Pattern Recognition · Computer Science 2018-06-07 Magnus Oskarsson

We revisit the classical Perspective-Three-Point (P3P) problem, which aims to recover the absolute pose of a calibrated camera from three 2D-3D correspondences. It has long been known that P3P can be reduced to a quartic polynomial with…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Seong Hun Lee , Patrick Vandewalle , Javier Civera

Correspondences between 3D lines and their 2D images captured by a camera are often used to determine position and orientation of the camera in space. In this work, we propose a novel algebraic algorithm to estimate the camera pose. We…

Computer Vision and Pattern Recognition · Computer Science 2016-08-10 Bronislav Přibyl , Pavel Zemčík , Martin Čadík

This paper presents a new algorithm to estimate absolute camera pose given an axis of the camera's rotation matrix. Current algorithms solve the problem via algebraic solutions on limited input domains. This paper shows that the problem can…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Akshay Chandrasekhar

We present a complete classification of minimal problems for generic arrangements of points and lines in space observed partially by three calibrated perspective cameras when each line is incident to at most one point. This is a large class…

Computer Vision and Pattern Recognition · Computer Science 2020-03-12 Timothy Duff , Kathlén Kohn , Anton Leykin , Tomas Pajdla

We give a new algorithmic solution to the well-known five-point relative pose problem. Our approach does not deal with the famous cubic constraint on an essential matrix. Instead, we use the Cayley representation of rotations in order to…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Evgeniy Martyushev

We consider the classical camera pose estimation problem that arises in many computer vision applications, in which we are given n 2D-3D correspondences between points in the scene and points in the camera image (some of which are incorrect…

Computational Geometry · Computer Science 2019-03-19 Dror Aiger , Haim Kaplan , Efi Kokiopoulou , Micha Sharir , Bernhard Zeisl

Conventional absolute camera pose via a Perspective-n-Point (PnP) solver often assumes that the correspondences between 2D image pixels and 3D points are given. When the correspondences between 2D and 3D points are not known a priori, the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Liu Liu , Dylan Campbell , Hongdong Li , Dingfu Zhou , Xibin Song , Ruigang Yang

A minimal solution using two affine correspondences is presented to estimate the common focal length and the fundamental matrix between two semi-calibrated cameras - known intrinsic parameters except a common focal length. To the best of…

Computer Vision and Pattern Recognition · Computer Science 2017-06-07 Daniel Barath , Tekla Toth , Levente Hajder

Line features are valid complements for point features in man-made environments. 3D-2D constraints provided by line features have been widely used in Visual Odometry (VO) and Structure-from-Motion (SfM) systems. However, how to accurately…

Robotics · Computer Science 2025-01-14 Zewen Xu , Yijia He , Hao Wei , Bo Xu , BinJian Xie , Yihong Wu

Absolute pose estimation is a fundamental problem in computer vision, and it is a typical parameter estimation problem, meaning that efforts to solve it will always suffer from outlier-contaminated data. Conventionally, for a fixed…

Computer Vision and Pattern Recognition · Computer Science 2019-12-17 Yinlong Liu , Xuechen Li , Manning Wang , Guang Chen , Zhijian Song , Alois Knoll

Mobile devices equipped with a multi-camera system and an inertial measurement unit (IMU) are widely used nowadays, such as self-driving cars. The task of relative pose estimation using visual and inertial information has important…

Computer Vision and Pattern Recognition · Computer Science 2025-12-22 Zhenbao Yu , Banglei Guan , Shunkun Liang , Zibin Liu , Yang Shang , Qifeng Yu

In this paper we present four cases of minimal solutions for two-view relative pose estimation by exploiting the affine transformation between feature points and we demonstrate efficient solvers for these cases. It is shown, that under the…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Banglei Guan , Ji Zhao , Zhang Li , Fang Sun , Friedrich Fraundorfer

We present gP4Pc, a new method for computing the absolute pose of a generalized camera with unknown internal scale from four corresponding 3D point-and-ray pairs. Unlike most pose-and-scale methods, gP4Pc is based on constraints arising…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Victor Fragoso , Sudipta Sinha
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